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"But the problem with reincarnation is that it's hard to imagine what the storage medium for past lives would be. Not to mention the input-output device. I hesitate to rule it out completely, but I'd need pretty definite proof."
- Arthur C. Clarke

Full-Shift Set Variable  
  Infinite possibilities built into a game machine.  

You've seen pinball machines, but not like this one.

"What's the object of the game?" Tinbane asked.

"We have here," the technician explained, "what we call a full-shift set variable. In other words, the terrain through which the steel ball moves is never the same. The number of possible combinations is -" he leafed through his report but was unable to find the exact figure - "anyhow, quite great. In the millions. It's excessively intricate, in our opinion..."

Technovelgy from Return Match, by Philip K. Dick.
Published by Galaxy in 1967
Additional resources -

For earlier speculations on infinitely variable gaming environments, see the remarkable kingdom in a box, from Stanislaw Lem's 1965 story The Cyberiad: Fables for the Cybernetic Age.

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Additional resources:
  More Ideas and Technology from Return Match
  More Ideas and Technology by Philip K. Dick
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